Divide 2x³-10x²+9x+15 by x-3 using the synthethic division. Show the process and step by step explanation
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Divide 2x³-10x²+9x+15 by x-3 using the synthethic division. Show the process and step by step explanation
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Answer:
Step-by-step explanation:
First, the divisor we will use for synthetic division is the number in the original divisor with an opposite sign, so -3 will become 3.
The exponent of the first term of the answer is always 1 less than the original. That means the answer would start with because 3 - 1 = 2.
Finally, if the rightmost value is not 0, it is the remainder and it should be written as . The rightmost value is 6, and your divisor is x-3. Therefore, the last term for the polynomial is